Question

Find the area of the region bounded by the lines x=0, x=2, and y=0 and the curve y=e^(x/2). (Answer: 2(e-1). But should I just take the integral of e^(x/2) from 0 to 2 since x=0, x=2? But what does y=0 mea? )

Answer 1

y=0 is the x-axis

Answer 2

So can you just ignore y=0 with problems like these?

Answer 3

because sometimes you will have:

and the area is really integral [f(x) - g(x)]

in this case, g(x) = 0